What is the Least Common Multiple of 27160 and 27174?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 27160 and 27174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27160 and 27174, than apply into the LCM equation.

GCF(27160,27174) = 14
LCM(27160,27174) = ( 27160 × 27174) / 14
LCM(27160,27174) = 738045840 / 14
LCM(27160,27174) = 52717560

Least Common Multiple (LCM) of 27160 and 27174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27160 and 27174. First we will calculate the prime factors of 27160 and 27174.

Prime Factorization of 27160

Prime Factorization of 27174

Now multiplying the highest exponent prime factors to calculate the LCM of 27160 and 27174.

LCM(27160,27174) = 2³ × 5¹ × 7¹ × 97¹ × 3¹ × 647¹
LCM(27160,27174) = 52717560